A high-order discontinuous Galerkin method for extension problems

作者:Utz Thomas*; Kummer Florian
来源:International Journal for Numerical Methods in Fluids, 2018, 86(8): 509-518.
DOI:10.1002/fld.4464

摘要

We present a novel technique for solving extension problems such as the extension velocity, by reformulating the problem into an elliptic differential equation. We introduce a novel discretization using an upwind flux without any additional stabilization. This leads to a triangular matrix structure, which can be solved using a marching algorithm and high-order accuracy, even in the presence of singularities.

  • 出版日期2018-3-20